Two distributions of data are being analyzed. Distribution A has a mean of 1,000 and a standard deviation equal to 200. Distribution B has a mean of 20 and a standard deviation equal to 8.0. Based on this information, use the coefficient of variation to determine which distribution has greater relative variation. Choose the correct answer below. A. Distribution A has greater relative variation since its coefficient of variation is less than distribution B's. B. Distribution B has greater relative variation since its coefficient of variation is less than distribution A's. C. Distribution B has greater relative variation since its coefficient of variation is greater than distribution A's. D. Distribution A has greater relative variation since its coefficient of variation is greater than distribution B's.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Two distributions of data are being analyzed. Distribution A has a mean of 1,000 and a standard deviation equal to
200. Distribution B has a mean of 20 and a standard deviation equal to 8.0. Based on this information, use the
coefficient of variation to determine which distribution has greater relative variation.
Choose the correct answer below.
A. Distribution A has greater relative variation since its coefficient of variation is less than distribution B's.
B. Distribution B has greater relative variation since its coefficient of variation is less than distribution A's.
C. Distribution B has greater relative variation since its coefficient of variation is greater than distribution A's.
D. Distribution A has greater relative variation since its coefficient of variation is greater than distribution B's.
Transcribed Image Text:Two distributions of data are being analyzed. Distribution A has a mean of 1,000 and a standard deviation equal to 200. Distribution B has a mean of 20 and a standard deviation equal to 8.0. Based on this information, use the coefficient of variation to determine which distribution has greater relative variation. Choose the correct answer below. A. Distribution A has greater relative variation since its coefficient of variation is less than distribution B's. B. Distribution B has greater relative variation since its coefficient of variation is less than distribution A's. C. Distribution B has greater relative variation since its coefficient of variation is greater than distribution A's. D. Distribution A has greater relative variation since its coefficient of variation is greater than distribution B's.
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